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Extensions of classical matrix inequalities

✍ Scribed by Marvin Marcus; Henry Minc


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
963 KB
Volume
1
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Operator versions of some classical ineq
✍ B. Mond; J. PečariΔ‡; J. Ε unde; S. VaroΕ‘anec πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 270 KB

Using the theory of connections developed in a paper by Kubo and Ando, operator versions of many classical inequalities are obtained. Finally, it is shown how abstract solidarities, an extension of the Kubo-Ando theory, can be used to obtain operator inequalities.

Extensions of Steffensen's Inequality
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We offer a new proof of the well-known Steffensen Inequality, whose context is sufficiently general that it engenders a number of extensions.

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Confluent q-extensions of some classical
✍ Warren P. Johnson πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 148 KB

We evaluate two determinants. The first is a q, h-extension of the classical confluent extension of the Vandermonde determinant. The second is a similar extension of Cauchy's double alternant.